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Finding the Fourth Proportional to 460.41, 687.24 and 405.73

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Solution

The fourth proportional to 460.41, 687.24 and 405.73 is: 605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.41 : 687.24 = 405.73 : x
  2. Step 2: Convert to fraction form
    460.41/687.24 = 405.73/x
  3. Step 3: Cross multiply
    460.41x = 687.24 × 405.73
  4. Step 4: Simplify right side
    460.41x = 278,833.89
  5. Step 5: Solve for x
    x = 278,833.89/460.41
  6. Step 6: Final answer
    x = 605.62

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